Using the MACRS rates from the following table, what is the book value of a $3,500 computer after 2 years? Year MACRS Rate 1 20.0 % 2 32.0% 3 19.2 % 11.52% 11.52 % book value = [?] Round to the nearest hundredth. 45

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using the macrs rates from the following table, what is the book value of a $3500 computer after 2 years?

### Modified Accelerated Cost Recovery System (MACRS)

**Problem Statement:**
Using the MACRS rates from the following table, what is the book value of a $3,500 computer after 2 years?

**MACRS Depreciation Rates:**

| Year | MACRS Rate |
|------|------------|
| 1    | 20.0 %     |
| 2    | 32.0 %     |
| 3    | 19.2 %     |
| 4    | 11.52 %    |
| 5    | 11.52 %    |

**Instruction:**
Round the final answer to the nearest hundredth.

**Equation to use:**
\[ \text{Book Value After 2 Years} = \text{Initial Value} \times (1 - \text{Depreciation Year 1}) \times (1 - \text{Depreciation Year 2}) \]

**Step-by-step Calculation:**
1. Initial Value = $3,500
2. Depreciation for Year 1 = 20.0%
3. Depreciation for Year 2 = 32.0%

Let's break this down:

1. After Year 1:
   \[ \text{Value After Year 1} = 3500 \times (1 - 0.20) = 3500 \times 0.80 = 2800 \]

2. After Year 2:
   \[ \text{Value After Year 2} = 2800 \times (1 - 0.32) = 2800 \times 0.68 = 1904 \]

So, the book value of the computer after 2 years is $1904.00.

**Interactive Element:**
- Enter the calculated book value and verify with an interactive feature to validate understanding and correctness of the computation.

**User Input:**
\[ \text{book value} = \text{[ ]} \]

**Note:**
Please round to the nearest hundredth.

After completing the calculation, click the Enter button to check your answer.
Transcribed Image Text:### Modified Accelerated Cost Recovery System (MACRS) **Problem Statement:** Using the MACRS rates from the following table, what is the book value of a $3,500 computer after 2 years? **MACRS Depreciation Rates:** | Year | MACRS Rate | |------|------------| | 1 | 20.0 % | | 2 | 32.0 % | | 3 | 19.2 % | | 4 | 11.52 % | | 5 | 11.52 % | **Instruction:** Round the final answer to the nearest hundredth. **Equation to use:** \[ \text{Book Value After 2 Years} = \text{Initial Value} \times (1 - \text{Depreciation Year 1}) \times (1 - \text{Depreciation Year 2}) \] **Step-by-step Calculation:** 1. Initial Value = $3,500 2. Depreciation for Year 1 = 20.0% 3. Depreciation for Year 2 = 32.0% Let's break this down: 1. After Year 1: \[ \text{Value After Year 1} = 3500 \times (1 - 0.20) = 3500 \times 0.80 = 2800 \] 2. After Year 2: \[ \text{Value After Year 2} = 2800 \times (1 - 0.32) = 2800 \times 0.68 = 1904 \] So, the book value of the computer after 2 years is $1904.00. **Interactive Element:** - Enter the calculated book value and verify with an interactive feature to validate understanding and correctness of the computation. **User Input:** \[ \text{book value} = \text{[ ]} \] **Note:** Please round to the nearest hundredth. After completing the calculation, click the Enter button to check your answer.
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ISBN:
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OpenStax
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OpenStax College